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Focuses on using game theory in mathematical modelling. This introductory text covers the basic ideas and methods of game theory as well as the necess...Savoir plus
Matrix groups are central to many fields in mathematics and physics. This book combines rigor and intuition to describe basic objects of Lie theory: L...Savoir plus
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In thi...Savoir plus
Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in IR 3 that arise in calculus. Here we learn abo...Savoir plus
Features plane curves to illustrate many deep and inspiring results in the field in an elementary and accessible way. After an introduction to the bas...Savoir plus
An introductory survey of elliptic curves, modular forms, and $L$-functions. The main goal is to provide the reader with the big picture of the surpri...Savoir plus
Provides a student's first encounter with the concepts of measure theory and functional analysis. This book reflects the belief that difficult concept...Savoir plus
Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It is concrete and ex...Savoir plus
Provides an elementary analytically inclined journey to a fundamental result of linear algebra: the Singular Value Decomposition (SVD). SVD is a workh...Savoir plus
Everyone knows some of the basics of probability, perhaps enough to play cards. Beyond the introductory ideas, there are many wonderful results that a...Savoir plus
Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of ...Savoir plus
Offers an introduction to the theory of finite fields and to some of their many practical applications. After covering their construction and elementa...Savoir plus
Offers a reader-friendly introduction to the theory of symmetric functions. It includes fundamental topics such as the monomial, elementary, homogeneo...Savoir plus
Based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the connections betw...Savoir plus
This is an innovative modern exposition of geometry, or rather, of geometries; it is the first textbook in which Felix Klein's Erlangen Program (the a...Savoir plus
The theory of Lie groups involves many areas of mathematics: algebra, differential geometry, algebraic geometry, analysis, and differential equations....Savoir plus
Tries to display the value (and joy!) of starting from a mathematically amorphous problem and combining ideas from diverse sources to produce new and ...Savoir plus
Offers an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which p...Savoir plus
Number theory is the equal of Euclidean geometry - some would say it is superior to Euclidean geometry - as a model of pure, logical, deductive thinki...Savoir plus
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity o...Savoir plus
Takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. The book develops...Savoir plus
Gives an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. In particular,...Savoir plus
Introduces algebraic geometric coding theory. This book covers linear codes, including cyclic codes, and both bounds and asymptotic bounds on the para...Savoir plus
Introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how th...Savoir plus